(* Content-type: application/vnd.wolfram.mathematica *)

(*** Wolfram Notebook File ***)
(* http://www.wolfram.com/nb *)

(* CreatedBy='Mathematica 10.4' *)

(*CacheID: 234*)
(* Internal cache information:
NotebookFileLineBreakTest
NotebookFileLineBreakTest
NotebookDataPosition[       158,          7]
NotebookDataLength[     19795,        746]
NotebookOptionsPosition[     14217,        556]
NotebookOutlinePosition[     17748,        663]
CellTagsIndexPosition[     17641,        657]
WindowTitle->CSPE
WindowFrame->Normal*)

(* Beginning of Notebook Content *)
Notebook[{
Cell[BoxData[GridBox[{
   {Cell["FEYN CALC SYMBOL", "PacletNameCell"], Cell[TextData[{
     Cell[BoxData[
      ActionMenuBox[
       FrameBox[
        InterpretationBox[Cell[TextData[{
          "See Also",
          StyleBox[" \[FilledDownTriangle]", "AnchorBarArrow",
           StripOnInput->False]
         }]],
         TextCell[
          Row[{"See Also", 
            Style[" \[FilledDownTriangle]", "AnchorBarArrow"]}]]],
        StripOnInput->False], {"\<\"SPE\"\>":>Documentation`HelpLookup[
       "paclet:FeynCalc/ref/SPE"], "\<\"ScalarProduct\"\>":>
       Documentation`HelpLookup[
       "paclet:FeynCalc/ref/ScalarProduct"], "\<\"CartesianScalarProduct\"\>":>
       Documentation`HelpLookup["paclet:FeynCalc/ref/CartesianScalarProduct"]},
       Appearance->None,
       MenuAppearance->Automatic,
       MenuStyle->"SeeAlso"]],
      LineSpacing->{1.4, 0}],
     "\[ThickSpace]\[ThickSpace]\[ThickSpace]\[ThickSpace]\[ThickSpace]\
\[ThickSpace]",
     Cell[BoxData[
      ActionMenuBox[
       FrameBox[
        InterpretationBox[Cell[TextData[{
          "URL",
          StyleBox[" \[FilledDownTriangle]", "AnchorBarArrow",
           StripOnInput->False]
         }]],
         TextCell[
          Row[{"URL", 
            Style[" \[FilledDownTriangle]", "AnchorBarArrow"]}]]],
        StripOnInput->False], {"\<\"FeynCalc/ref/CSPE\"\>":>
       None, "\<\"Copy Wolfram Documentation Center URL\"\>":>
       Module[{DocumentationSearch`Private`nb$}, 
        DocumentationSearch`Private`nb$ = NotebookPut[
           Notebook[{
             Cell["FeynCalc/ref/CSPE"]}, Visible -> False]]; 
        SelectionMove[DocumentationSearch`Private`nb$, All, Notebook]; 
        FrontEndTokenExecute[DocumentationSearch`Private`nb$, "Copy"]; 
        NotebookClose[DocumentationSearch`Private`nb$]; Null], 
       Delimiter, "\<\"Copy web URL\"\>":>
       Module[{DocumentationSearch`Private`nb$}, 
        DocumentationSearch`Private`nb$ = NotebookPut[
           Notebook[{
             Cell[
              BoxData[
               MakeBoxes[
                Hyperlink[
                "http://reference.wolfram.com/language/FeynCalc/ref/CSPE.\
html"], StandardForm]], "Input", TextClipboardType -> "PlainText"]}, Visible -> 
            False]]; SelectionMove[
         DocumentationSearch`Private`nb$, All, Notebook]; 
        FrontEndTokenExecute[DocumentationSearch`Private`nb$, "Copy"]; 
        NotebookClose[DocumentationSearch`Private`nb$]; 
        Null], "\<\"Go to web URL\"\>":>FrontEndExecute[{
         NotebookLocate[{
           URL[
            StringJoin[
             If[
              TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$52829], 
              "http://reference.wolfram.com/system-modeler/", 
              "http://reference.wolfram.com/language/"], "FeynCalc/ref/CSPE", 
             ".html"]], None}]}]},
       Appearance->None,
       MenuAppearance->Automatic,
       MenuStyle->"URLMenu"]],
      LineSpacing->{1.4, 0}]
    }], "AnchorBar"]}
  }]], "AnchorBarGrid",
 GridBoxOptions->{GridBoxItemSize->{"Columns" -> {
     Scaled[0.65], {
      Scaled[0.34]}}, "ColumnsIndexed" -> {}, "Rows" -> {{1.}}, 
   "RowsIndexed" -> {}}},
 CellID->1],

Cell[TextData[{
 Cell["CSPE", "ObjectName"],
 Cell[BoxData[
  InterpretationBox[
   StyleBox[
    GraphicsBox[{},
     BaselinePosition->Baseline,
     ImageSize->{8, 0}],
    CacheGraphics->False],
   Spacer[8]]]],
 Cell[BoxData[""], "ObjectNameTranslation"]
}], "ObjectNameGrid"],

Cell[BoxData[GridBox[{
   {"", Cell[TextData[{
     Cell[BoxData[
      RowBox[{"CSPE", "[", 
       RowBox[{"p", ",", "q"}], "]"}]], "InlineFormula"],
     " \[LineSeparator]is the D-4-dimensional scalar product of p with q and \
is transformed into CartesianPair[CartesianMomentum[p, \
D-4],CartesianMomentum[q, D-4]] by FeynCalcInternal. CSPE[p] is the same as \
CSPE[p,p] ( ",
     Cell[BoxData[
      RowBox[{"=", 
       SuperscriptBox["p", "2"]}]], "InlineFormula"],
     ")."
    }]]}
  }]], "Usage",
 GridBoxOptions->{
 GridBoxBackground->{
  "Columns" -> {{None}}, "ColumnsIndexed" -> {}, "Rows" -> {{None}}, 
   "RowsIndexed" -> {}}},
 CellID->982511436],

Cell[CellGroupData[{

Cell[TextData[{
 Cell[BoxData[
  InterpretationBox[
   StyleBox[
    GraphicsBox[{},
     BaselinePosition->Baseline,
     ImageSize->{6, 0}],
    CacheGraphics->False],
   Spacer[6]]]],
 "Examples",
 "\[NonBreakingSpace]\[NonBreakingSpace]",
 Cell["(1)", "ExampleCount"]
}], "PrimaryExamplesSection",
 WholeCellGroupOpener->True,
 CellTags->"PrimaryExamplesSection",
 CellID->2023747722],

Cell[CellGroupData[{

Cell[TextData[{
 "Basic Examples",
 "\[NonBreakingSpace]\[NonBreakingSpace]",
 Cell["(1)", "ExampleCount"]
}], "ExampleSection", "ExampleSection",
 WholeCellGroupOpener->True,
 CellID->1062240178],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{
  RowBox[{"CSPE", "[", 
   RowBox[{"p", ",", "q"}], "]"}], " ", "+", " ", 
  RowBox[{"CSPE", "[", "q", "]"}]}]], "Input",
 CellTags->"SPE",
 CellLabel->"In[1]:=",
 CellID->1779475118],

Cell[BoxData[
 FormBox[
  RowBox[{
   FormBox[
    RowBox[{
     FormBox[
      OverscriptBox[
       FormBox[
        StyleBox["p",
         StripOnInput->False,
         FontWeight->Bold],
        TraditionalForm], "^"],
      TraditionalForm], 
     FormBox["\<\"\[CenterDot]\"\>",
      TraditionalForm], 
     FormBox[
      OverscriptBox[
       FormBox[
        StyleBox["q",
         StripOnInput->False,
         FontWeight->Bold],
        TraditionalForm], "^"],
      TraditionalForm]}],
    TraditionalForm], "+", 
   FormBox[
    SuperscriptBox[
     FormBox[
      OverscriptBox[
       FormBox[
        StyleBox["q",
         StripOnInput->False,
         FontWeight->Bold],
        TraditionalForm], "^"],
      TraditionalForm], "2"],
    TraditionalForm]}], TraditionalForm]], "Output",
 ImageSize->{78, 18},
 ImageMargins->{{0, 0}, {0, 0}},
 ImageRegion->{{0, 1}, {0, 1}},
 CellTags->"SPE",
 CellLabel->"Out[1]=",
 CellID->1516094616]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"CSPE", "[", 
  RowBox[{
   RowBox[{"p", "-", "q"}], ",", 
   RowBox[{"q", "+", 
    RowBox[{"2", "p"}]}]}], "]"}]], "Input",
 CellTags->"SPE",
 CellLabel->"In[2]:=",
 CellID->437622958],

Cell[BoxData[
 FormBox[
  RowBox[{
   FormBox["\<\"(\"\>",
    TraditionalForm], 
   FormBox[
    FormBox[
     RowBox[{
      OverscriptBox[
       FormBox[
        StyleBox["p",
         StripOnInput->False,
         FontWeight->Bold],
        TraditionalForm], "^"], "-", 
      OverscriptBox[
       FormBox[
        StyleBox["q",
         StripOnInput->False,
         FontWeight->Bold],
        TraditionalForm], "^"]}],
     TraditionalForm],
    TraditionalForm], 
   FormBox["\<\")\"\>",
    TraditionalForm], 
   FormBox["\<\"\[CenterDot]\"\>",
    TraditionalForm], 
   FormBox["\<\"(\"\>",
    TraditionalForm], 
   FormBox[
    FormBox[
     RowBox[{
      RowBox[{"2", " ", 
       OverscriptBox[
        FormBox[
         StyleBox["p",
          StripOnInput->False,
          FontWeight->Bold],
         TraditionalForm], "^"]}], "+", 
      OverscriptBox[
       FormBox[
        StyleBox["q",
         StripOnInput->False,
         FontWeight->Bold],
        TraditionalForm], "^"]}],
     TraditionalForm],
    TraditionalForm], 
   FormBox["\<\")\"\>",
    TraditionalForm]}], TraditionalForm]], "Output",
 ImageSize->{147, 16},
 ImageMargins->{{0, 0}, {0, 0}},
 ImageRegion->{{0, 1}, {0, 1}},
 CellTags->"SPE",
 CellLabel->"Out[2]=",
 CellID->1038841311]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"Calc", "[", " ", 
  RowBox[{"CSPE", "[", 
   RowBox[{
    RowBox[{"p", "-", "q"}], ",", 
    RowBox[{"q", "+", 
     RowBox[{"2", "p"}]}]}], "]"}], " ", "]"}]], "Input",
 CellTags->"SPE",
 CellLabel->"In[3]:=",
 CellID->1031117972],

Cell[BoxData[
 FormBox[
  RowBox[{
   RowBox[{"-", 
    RowBox[{
     FormBox[
      OverscriptBox[
       FormBox[
        StyleBox["p",
         StripOnInput->False,
         FontWeight->Bold],
        TraditionalForm], "^"],
      TraditionalForm], 
     FormBox["\<\"\[CenterDot]\"\>",
      TraditionalForm], 
     FormBox[
      OverscriptBox[
       FormBox[
        StyleBox["q",
         StripOnInput->False,
         FontWeight->Bold],
        TraditionalForm], "^"],
      TraditionalForm]}]}], "+", 
   RowBox[{"2", " ", 
    SuperscriptBox[
     FormBox[
      OverscriptBox[
       FormBox[
        StyleBox["p",
         StripOnInput->False,
         FontWeight->Bold],
        TraditionalForm], "^"],
      TraditionalForm], "2"]}], "-", 
   SuperscriptBox[
    FormBox[
     OverscriptBox[
      FormBox[
       StyleBox["q",
        StripOnInput->False,
        FontWeight->Bold],
       TraditionalForm], "^"],
     TraditionalForm], "2"]}], TraditionalForm]], "Output",
 ImageSize->{138, 18},
 ImageMargins->{{0, 0}, {0, 0}},
 ImageRegion->{{0, 1}, {0, 1}},
 CellTags->"SPE",
 CellLabel->"Out[3]=",
 CellID->1270490467]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"ExpandScalarProduct", "[", 
  RowBox[{"CSPE", "[", 
   RowBox[{"p", "-", "q"}], "]"}], "]"}]], "Input",
 CellTags->"SPE",
 CellLabel->"In[4]:=",
 CellID->87993462],

Cell[BoxData[
 FormBox[
  RowBox[{
   RowBox[{"-", 
    RowBox[{"2", " ", 
     RowBox[{"(", 
      RowBox[{
       FormBox[
        OverscriptBox[
         FormBox[
          StyleBox["p",
           StripOnInput->False,
           FontWeight->Bold],
          TraditionalForm], "^"],
        TraditionalForm], 
       FormBox["\<\"\[CenterDot]\"\>",
        TraditionalForm], 
       FormBox[
        OverscriptBox[
         FormBox[
          StyleBox["q",
           StripOnInput->False,
           FontWeight->Bold],
          TraditionalForm], "^"],
        TraditionalForm]}], ")"}]}]}], "+", 
   SuperscriptBox[
    FormBox[
     OverscriptBox[
      FormBox[
       StyleBox["p",
        StripOnInput->False,
        FontWeight->Bold],
       TraditionalForm], "^"],
     TraditionalForm], "2"], "+", 
   SuperscriptBox[
    FormBox[
     OverscriptBox[
      FormBox[
       StyleBox["q",
        StripOnInput->False,
        FontWeight->Bold],
       TraditionalForm], "^"],
     TraditionalForm], "2"]}], TraditionalForm]], "Output",
 ImageSize->{150, 21},
 ImageMargins->{{0, 0}, {0, 0}},
 ImageRegion->{{0, 1}, {0, 1}},
 CellTags->"SPE",
 CellLabel->"Out[4]=",
 CellID->2053769726]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{
  RowBox[{"CSPE", "[", 
   RowBox[{"a", ",", "b"}], "]"}], "//", "StandardForm"}]], "Input",
 CellTags->"SPE",
 CellLabel->"In[5]:=",
 CellID->2034315321],

Cell[BoxData[
 RowBox[{"CSPE", "[", 
  RowBox[{"a", ",", "b"}], "]"}]], "Output",
 ImageSize->{87, 15},
 ImageMargins->{{0, 0}, {0, 0}},
 ImageRegion->{{0, 1}, {0, 1}},
 CellTags->"SPE",
 CellLabel->"Out[5]//StandardForm=",
 CellID->49409289]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{
  RowBox[{
   RowBox[{"CSPE", "[", 
    RowBox[{"a", ",", "b"}], "]"}], "//", "FCI"}], "//", 
  "StandardForm"}]], "Input",
 CellTags->"SPE",
 CellLabel->"In[6]:=",
 CellID->1917897688],

Cell[BoxData[
 RowBox[{"CartesianPair", "[", 
  RowBox[{
   RowBox[{"CartesianMomentum", "[", 
    RowBox[{"a", ",", 
     RowBox[{
      RowBox[{"-", "4"}], "+", "D"}]}], "]"}], ",", 
   RowBox[{"CartesianMomentum", "[", 
    RowBox[{"b", ",", 
     RowBox[{
      RowBox[{"-", "4"}], "+", "D"}]}], "]"}]}], "]"}]], "Output",
 ImageSize->{345, 33},
 ImageMargins->{{0, 0}, {0, 0}},
 ImageRegion->{{0, 1}, {0, 1}},
 CellTags->"SPE",
 CellLabel->"Out[6]//StandardForm=",
 CellID->1531168216]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{
  RowBox[{
   RowBox[{
    RowBox[{"CSPE", "[", 
     RowBox[{"a", ",", "b"}], "]"}], "//", "FCI"}], "//", "FCE"}], "//", 
  "StandardForm"}]], "Input",
 CellTags->"SPE",
 CellLabel->"In[7]:=",
 CellID->980827421],

Cell[BoxData[
 RowBox[{"CSPE", "[", 
  RowBox[{"a", ",", "b"}], "]"}]], "Output",
 ImageSize->{87, 15},
 ImageMargins->{{0, 0}, {0, 0}},
 ImageRegion->{{0, 1}, {0, 1}},
 CellTags->"SPE",
 CellLabel->"Out[7]//StandardForm=",
 CellID->919943670]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{
  RowBox[{"FCE", "[", 
   RowBox[{"ChangeDimension", "[", 
    RowBox[{
     RowBox[{"CSP", "[", 
      RowBox[{"p", ",", "q"}], "]"}], ",", " ", 
     RowBox[{"D", "-", "4"}]}], "]"}], "]"}], "//", "StandardForm"}]], "Input",\

 CellTags->"SPE",
 CellLabel->"In[8]:=",
 CellID->1873446419],

Cell[BoxData[
 RowBox[{"CSPE", "[", 
  RowBox[{"p", ",", "q"}], "]"}]], "Output",
 ImageSize->{87, 15},
 ImageMargins->{{0, 0}, {0, 0}},
 ImageRegion->{{0, 1}, {0, 1}},
 CellTags->"SPE",
 CellLabel->"Out[8]//StandardForm=",
 CellID->1753753047]
}, Open  ]]
}, Open  ]],

Cell["", "SectionFooterSpacer"]
}, Open  ]],

Cell[CellGroupData[{

Cell[TextData[{
 Cell[BoxData[
  InterpretationBox[
   StyleBox[
    GraphicsBox[{},
     BaselinePosition->Baseline,
     ImageSize->{6, 0}],
    CacheGraphics->False],
   Spacer[6]]]],
 "See Also"
}], "SeeAlsoSection",
 WholeCellGroupOpener->True,
 CellID->1255426704],

Cell[TextData[{
 StyleBox[ButtonBox["SPE",
  BaseStyle->"Link",
  ButtonData->"paclet:FeynCalc/ref/SPE",
  ButtonNote->"SPE"],
  FontFamily->"Verdana"],
 ", ",
 StyleBox[ButtonBox["ScalarProduct",
  BaseStyle->"Link",
  ButtonData->"paclet:FeynCalc/ref/ScalarProduct",
  ButtonNote->"ScalarProduct"],
  FontFamily->"Verdana"],
 ", ",
 StyleBox[ButtonBox["CartesianScalarProduct",
  BaseStyle->"Link",
  ButtonData->"paclet:FeynCalc/ref/CartesianScalarProduct",
  ButtonNote->"CartesianScalarProduct"],
  FontFamily->"Verdana"],
 "."
}], "SeeAlso",
 CellID->119070656]
}, Open  ]],

Cell[" ", "FooterCell"]
},
Saveable->False,
ScreenStyleEnvironment->"Working",
WindowSize->{725, 750},
WindowMargins->{{-10, Automatic}, {Automatic, -8}},
WindowTitle->"CSPE",
TaggingRules->{
 "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> 
  GridBox[{{
      RowBox[{
        ButtonBox[
        "FeynCalc", ButtonData -> "paclet:FeynCalc/guide/FeynCalc", 
         BaseStyle -> {"Link", "DockedLinkTrail"}]}]}}, ColumnAlignments -> 
    Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> 
  None, "RootCaptions" -> "", 
  "Metadata" -> {
   "built" -> "{2020, 6, 20, 19, 3, 27.631780}", 
    "history" -> {"9.3", "", "", ""}, "context" -> "FeynCalc`", 
    "keywords" -> {}, "specialkeywords" -> {}, 
    "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> 
    "Feyn Calc Symbol", "language" -> "en", "paclet" -> "FeynCalc", "status" -> 
    "None", "summary" -> 
    "CSPE[p, q] is the D-4-dimensional scalar product of p with q and is \
transformed into CartesianPair[CartesianMomentum[p, D-4],CartesianMomentum[q, \
D-4]] by FeynCalcInternal. CSPE[p] is the same as CSPE[p,p] ( = p^2).", 
    "synonyms" -> {}, "tabletags" -> {}, "title" -> "CSPE", "titlemodifier" -> 
    "", "windowtitle" -> "CSPE", "type" -> "Symbol", "uri" -> 
    "FeynCalc/ref/CSPE"}, "SearchTextTranslated" -> ""},
CellContext->"Global`",
FrontEndVersion->"10.4 for Linux x86 (64-bit) (April 11, 2016)",
StyleDefinitions->Notebook[{
   Cell[
    StyleData[
    StyleDefinitions -> FrontEnd`FileName[{"Wolfram"}, "Reference.nb"]]], 
   Cell[
    StyleData["Input"], CellContext -> "Global`"], 
   Cell[
    StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, 
  FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", 
  StyleDefinitions -> "Default.nb"]
]
(* End of Notebook Content *)

(* Internal cache information *)
(*CellTagsOutline
CellTagsIndex->{
 "PrimaryExamplesSection"->{
  Cell[4746, 136, 388, 15, 31, "PrimaryExamplesSection",
   CellTags->"PrimaryExamplesSection",
   CellID->2023747722]},
 "SPE"->{
  Cell[5380, 165, 207, 7, 27, "Input",
   CellTags->"SPE",
   CellID->1779475118],
  Cell[5590, 174, 953, 40, 39, "Output",
   CellTags->"SPE",
   CellID->1516094616],
  Cell[6580, 219, 209, 8, 27, "Input",
   CellTags->"SPE",
   CellID->437622958],
  Cell[6792, 229, 1275, 53, 37, "Output",
   CellTags->"SPE",
   CellID->1038841311],
  Cell[8104, 287, 255, 9, 27, "Input",
   CellTags->"SPE",
   CellID->1031117972],
  Cell[8362, 298, 1139, 47, 39, "Output",
   CellTags->"SPE",
   CellID->1270490467],
  Cell[9538, 350, 187, 6, 27, "Input",
   CellTags->"SPE",
   CellID->87993462],
  Cell[9728, 358, 1195, 48, 42, "Output",
   CellTags->"SPE",
   CellID->2053769726],
  Cell[10960, 411, 178, 6, 27, "Input",
   CellTags->"SPE",
   CellID->2034315321],
  Cell[11141, 419, 242, 8, 51, "Output",
   CellTags->"SPE",
   CellID->49409289],
  Cell[11420, 432, 209, 8, 27, "Input",
   CellTags->"SPE",
   CellID->1917897688],
  Cell[11632, 442, 490, 16, 69, "Output",
   CellTags->"SPE",
   CellID->1531168216],
  Cell[12159, 463, 237, 9, 27, "Input",
   CellTags->"SPE",
   CellID->980827421],
  Cell[12399, 474, 243, 8, 51, "Output",
   CellTags->"SPE",
   CellID->919943670],
  Cell[12679, 487, 314, 11, 27, "Input",
   CellTags->"SPE",
   CellID->1873446419],
  Cell[12996, 500, 244, 8, 51, "Output",
   CellTags->"SPE",
   CellID->1753753047]}
 }
*)
(*CellTagsIndex
CellTagsIndex->{
 {"PrimaryExamplesSection", 16140, 601},
 {"SPE", 16271, 605}
 }
*)
(*NotebookFileOutline
Notebook[{
Cell[576, 21, 3193, 77, 53, "AnchorBarGrid",
 CellID->1],
Cell[3772, 100, 281, 11, 45, "ObjectNameGrid"],
Cell[4056, 113, 665, 19, 119, "Usage",
 CellID->982511436],
Cell[CellGroupData[{
Cell[4746, 136, 388, 15, 31, "PrimaryExamplesSection",
 CellTags->"PrimaryExamplesSection",
 CellID->2023747722],
Cell[CellGroupData[{
Cell[5159, 155, 196, 6, 26, "ExampleSection",
 CellID->1062240178],
Cell[CellGroupData[{
Cell[5380, 165, 207, 7, 27, "Input",
 CellTags->"SPE",
 CellID->1779475118],
Cell[5590, 174, 953, 40, 39, "Output",
 CellTags->"SPE",
 CellID->1516094616]
}, Open  ]],
Cell[CellGroupData[{
Cell[6580, 219, 209, 8, 27, "Input",
 CellTags->"SPE",
 CellID->437622958],
Cell[6792, 229, 1275, 53, 37, "Output",
 CellTags->"SPE",
 CellID->1038841311]
}, Open  ]],
Cell[CellGroupData[{
Cell[8104, 287, 255, 9, 27, "Input",
 CellTags->"SPE",
 CellID->1031117972],
Cell[8362, 298, 1139, 47, 39, "Output",
 CellTags->"SPE",
 CellID->1270490467]
}, Open  ]],
Cell[CellGroupData[{
Cell[9538, 350, 187, 6, 27, "Input",
 CellTags->"SPE",
 CellID->87993462],
Cell[9728, 358, 1195, 48, 42, "Output",
 CellTags->"SPE",
 CellID->2053769726]
}, Open  ]],
Cell[CellGroupData[{
Cell[10960, 411, 178, 6, 27, "Input",
 CellTags->"SPE",
 CellID->2034315321],
Cell[11141, 419, 242, 8, 51, "Output",
 CellTags->"SPE",
 CellID->49409289]
}, Open  ]],
Cell[CellGroupData[{
Cell[11420, 432, 209, 8, 27, "Input",
 CellTags->"SPE",
 CellID->1917897688],
Cell[11632, 442, 490, 16, 69, "Output",
 CellTags->"SPE",
 CellID->1531168216]
}, Open  ]],
Cell[CellGroupData[{
Cell[12159, 463, 237, 9, 27, "Input",
 CellTags->"SPE",
 CellID->980827421],
Cell[12399, 474, 243, 8, 51, "Output",
 CellTags->"SPE",
 CellID->919943670]
}, Open  ]],
Cell[CellGroupData[{
Cell[12679, 487, 314, 11, 27, "Input",
 CellTags->"SPE",
 CellID->1873446419],
Cell[12996, 500, 244, 8, 51, "Output",
 CellTags->"SPE",
 CellID->1753753047]
}, Open  ]]
}, Open  ]],
Cell[13267, 512, 31, 0, 29, "SectionFooterSpacer"]
}, Open  ]],
Cell[CellGroupData[{
Cell[13335, 517, 270, 12, 31, "SeeAlsoSection",
 CellID->1255426704],
Cell[13608, 531, 567, 20, 56, "SeeAlso",
 CellID->119070656]
}, Open  ]],
Cell[14190, 554, 23, 0, 41, "FooterCell"]
}
]
*)

(* End of internal cache information *)

